6151964786688 has 1088 divisors, whose sum is σ = 21090812866560. Its totient is φ = 1554643943424.

The previous prime is 6151964786663. The next prime is 6151964786719. The reversal of 6151964786688 is 8866874691516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31875465120 + ... + 31875465312.

Almost surely, 2^{6151964786688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6151964786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10545406433280).

6151964786688 is an abundant number, since it is smaller than the sum of its proper divisors (14938848079872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6151964786688 is a wasteful number, since it uses less digits than its factorization.

6151964786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 300 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 75.

The spelling of 6151964786688 in words is "six trillion, one hundred fifty-one billion, nine hundred sixty-four million, seven hundred eighty-six thousand, six hundred eighty-eight".